Q: What are the factor combinations of the number 52,212,155?

 A:
Positive:   1 x 522121555 x 1044243153 x 98513573 x 715235265 x 197027365 x 1430472699 x 193453869 x 13495
Negative: -1 x -52212155-5 x -10442431-53 x -985135-73 x -715235-265 x -197027-365 x -143047-2699 x -19345-3869 x -13495


How do I find the factor combinations of the number 52,212,155?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 52,212,155, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 52,212,155
-1 -52,212,155

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 52,212,155.

Example:
1 x 52,212,155 = 52,212,155
and
-1 x -52,212,155 = 52,212,155
Notice both answers equal 52,212,155

With that explanation out of the way, let's continue. Next, we take the number 52,212,155 and divide it by 2:

52,212,155 ÷ 2 = 26,106,077.5

If the quotient is a whole number, then 2 and 26,106,077.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 52,212,155
-1 -52,212,155

Now, we try dividing 52,212,155 by 3:

52,212,155 ÷ 3 = 17,404,051.6667

If the quotient is a whole number, then 3 and 17,404,051.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 52,212,155
-1 -52,212,155

Let's try dividing by 4:

52,212,155 ÷ 4 = 13,053,038.75

If the quotient is a whole number, then 4 and 13,053,038.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 52,212,155
-1 52,212,155
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1553732653652,6993,86913,49519,345143,047197,027715,235985,13510,442,43152,212,155
-1-5-53-73-265-365-2,699-3,869-13,495-19,345-143,047-197,027-715,235-985,135-10,442,431-52,212,155

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